Affiliation:
1. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700, Bucharest, Romania
Abstract
In [1], the authors prove a conjecture of Calegari and Stein regarding mod p congruences between cusp forms of weight four for Γ0(p) and the derivatives of cusp forms of weight two for the same congruence subgroup. In this paper, we investigate whether or not the result remains valid for cusp forms of level Np.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Reference8 articles.
1. Congruences for modular forms of weights two and four
2. Conjectures about Discriminants of Hecke Algebras of Prime Level
3. F. Diamond and J. Im, Seminar on Fermat's Last Theorem (Toronto, ON, 1993–1994) (Amer. Math. Soc., Providence, RI, 1995) pp. 39–133.
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